Atkin-Lehner |
2- 5- 7+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
123200hb |
Isogeny class |
Conductor |
123200 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
368640 |
Modular degree for the optimal curve |
Δ |
-2188386500608000 = -1 · 228 · 53 · 72 · 113 |
Discriminant |
Eigenvalues |
2- 0 5- 7+ 11- 2 -2 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-15020,-2359600] |
[a1,a2,a3,a4,a6] |
j |
-11436248277/66784256 |
j-invariant |
L |
2.3178769556562 |
L(r)(E,1)/r! |
Ω |
0.19315639237144 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
123200db1 30800cd1 123200ho1 |
Quadratic twists by: -4 8 5 |